Total Surface Area of Truncated Cuboctahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(2/3)
TSA = 12*(2+sqrt(2)+sqrt(3))*(V/(2*(11+(7*sqrt(2)))))^(2/3)
This formula uses 1 Functions, 2 Variables
Functions Used
sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)
Variables Used
Total Surface Area of Truncated Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Truncated Cuboctahedron is the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron.
Volume of Truncated Cuboctahedron - (Measured in Cubic Meter) - Volume of Truncated Cuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Volume of Truncated Cuboctahedron: 42000 Cubic Meter --> 42000 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
TSA = 12*(2+sqrt(2)+sqrt(3))*(V/(2*(11+(7*sqrt(2)))))^(2/3) --> 12*(2+sqrt(2)+sqrt(3))*(42000/(2*(11+(7*sqrt(2)))))^(2/3)
Evaluating ... ...
TSA = 6195.29999783922
STEP 3: Convert Result to Output's Unit
6195.29999783922 Square Meter --> No Conversion Required
FINAL ANSWER
6195.29999783922 6195.3 Square Meter <-- Total Surface Area of Truncated Cuboctahedron
(Calculation completed in 00.020 seconds)

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5 Total Surface Area of Truncated Cuboctahedron Calculators

Total Surface Area of Truncated Cuboctahedron given Surface to Volume Ratio
Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))^2
Total Surface Area of Truncated Cuboctahedron given Circumsphere Radius
Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2)))))^2
Total Surface Area of Truncated Cuboctahedron given Midsphere Radius
Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^2
Total Surface Area of Truncated Cuboctahedron given Volume
Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(2/3)
Total Surface Area of Truncated Cuboctahedron
Go Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*Edge Length of Truncated Cuboctahedron^2

Total Surface Area of Truncated Cuboctahedron given Volume Formula

Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(2/3)
TSA = 12*(2+sqrt(2)+sqrt(3))*(V/(2*(11+(7*sqrt(2)))))^(2/3)

What is a Truncated Cuboctahedron?

In geometry, the Truncated Cuboctahedron is an Archimedean solid, named by Kepler as a truncation of a cuboctahedron. It has 26 faces which include 12 square faces, 8 regular hexagonal faces, 6 regular octagonal faces, 48 vertices and 72 edges. And each vertex are identical in such a way that, at each vertex one square, one hexagon and one octagon joins. Since each of its faces has point symmetry (equivalently, 180° rotational symmetry), the Truncated Cuboctahedron is a zonohedron. The Truncated Cuboctahedron can tessellate with the octagonal prism.

How to Calculate Total Surface Area of Truncated Cuboctahedron given Volume?

Total Surface Area of Truncated Cuboctahedron given Volume calculator uses Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(2/3) to calculate the Total Surface Area of Truncated Cuboctahedron, Total Surface Area of Truncated Cuboctahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron, and calculated using the volume of the Truncated Cuboctahedron. Total Surface Area of Truncated Cuboctahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Truncated Cuboctahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Truncated Cuboctahedron given Volume, enter Volume of Truncated Cuboctahedron (V) and hit the calculate button. Here is how the Total Surface Area of Truncated Cuboctahedron given Volume calculation can be explained with given input values -> 6195.3 = 12*(2+sqrt(2)+sqrt(3))*(42000/(2*(11+(7*sqrt(2)))))^(2/3).

FAQ

What is Total Surface Area of Truncated Cuboctahedron given Volume?
Total Surface Area of Truncated Cuboctahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron, and calculated using the volume of the Truncated Cuboctahedron and is represented as TSA = 12*(2+sqrt(2)+sqrt(3))*(V/(2*(11+(7*sqrt(2)))))^(2/3) or Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(2/3). Volume of Truncated Cuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Cuboctahedron.
How to calculate Total Surface Area of Truncated Cuboctahedron given Volume?
Total Surface Area of Truncated Cuboctahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Cuboctahedron, and calculated using the volume of the Truncated Cuboctahedron is calculated using Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*(Volume of Truncated Cuboctahedron/(2*(11+(7*sqrt(2)))))^(2/3). To calculate Total Surface Area of Truncated Cuboctahedron given Volume, you need Volume of Truncated Cuboctahedron (V). With our tool, you need to enter the respective value for Volume of Truncated Cuboctahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Total Surface Area of Truncated Cuboctahedron?
In this formula, Total Surface Area of Truncated Cuboctahedron uses Volume of Truncated Cuboctahedron. We can use 4 other way(s) to calculate the same, which is/are as follows -
  • Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*Edge Length of Truncated Cuboctahedron^2
  • Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Circumsphere Radius of Truncated Cuboctahedron)/(sqrt(13+(6*sqrt(2)))))^2
  • Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((2*Midsphere Radius of Truncated Cuboctahedron)/(sqrt(12+(6*sqrt(2)))))^2
  • Total Surface Area of Truncated Cuboctahedron = 12*(2+sqrt(2)+sqrt(3))*((6*(2+sqrt(2)+sqrt(3)))/(Surface to Volume Ratio of Truncated Cuboctahedron*(11+(7*sqrt(2)))))^2
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